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Spaces with Non-Symmetric Distance
 
Spaces with Non-Symmetric Distance
eBook ISBN:  978-0-8218-9977-9
Product Code:  MEMO/1/34.E
List Price: $17.00
MAA Member Price: $15.30
AMS Member Price: $13.60
Spaces with Non-Symmetric Distance
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Spaces with Non-Symmetric Distance
eBook ISBN:  978-0-8218-9977-9
Product Code:  MEMO/1/34.E
List Price: $17.00
MAA Member Price: $15.30
AMS Member Price: $13.60
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 11959; 91 pp
    MSC: Primary 53
  • Table of Contents
     
     
    • Chapters
    • Introduction
    • Part I. The basic concepts
    • 1. General metric spaces
    • 2. Compact and finitely compact general metric spaces
    • 3. Curves and their lengths. Segments
    • 4. Extremals
    • 5. Example. The Minkowski geometry
    • 6. Example. The quasihyperbolic geometry
    • 7. Local homogeneity of $E$-spaces. The one-dimensional $E$-spaces
    • Part II. Perpendiculars and parallels
    • 8. Convexity of spheres and perpendicularity
    • 9. Limitspheres and corays
    • 10. Asymptotes and parallels
    • Part III. Motions in $E$-spaces
    • 11. Axial motions in $E$-spaces
    • 12. Translations in straight $E$-surfaces
    • 13. Motions of compact $E$-spaces
    • Part IV. $E$-spaces with transitive groups of motions
    • 14. $E$-spaces with pairwise transitive groups of motions
    • 15. The determination of all $E$-surfaces with transitive groups of motions
    • Part V. $E$-spaces with non-positive curvature
    • 16. Introduction
    • 17. Straightness of the universal covering space
    • Appendix I. The Funk geometry
    • Appendix II. A quasihyperbolic plane
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 11959; 91 pp
MSC: Primary 53
  • Chapters
  • Introduction
  • Part I. The basic concepts
  • 1. General metric spaces
  • 2. Compact and finitely compact general metric spaces
  • 3. Curves and their lengths. Segments
  • 4. Extremals
  • 5. Example. The Minkowski geometry
  • 6. Example. The quasihyperbolic geometry
  • 7. Local homogeneity of $E$-spaces. The one-dimensional $E$-spaces
  • Part II. Perpendiculars and parallels
  • 8. Convexity of spheres and perpendicularity
  • 9. Limitspheres and corays
  • 10. Asymptotes and parallels
  • Part III. Motions in $E$-spaces
  • 11. Axial motions in $E$-spaces
  • 12. Translations in straight $E$-surfaces
  • 13. Motions of compact $E$-spaces
  • Part IV. $E$-spaces with transitive groups of motions
  • 14. $E$-spaces with pairwise transitive groups of motions
  • 15. The determination of all $E$-surfaces with transitive groups of motions
  • Part V. $E$-spaces with non-positive curvature
  • 16. Introduction
  • 17. Straightness of the universal covering space
  • Appendix I. The Funk geometry
  • Appendix II. A quasihyperbolic plane
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.